Note that the goldstino condensation proposal made in [1]} for the VA theory has important features distinguishing it from the Nambu-Jona-Lasinio (NJL) type models [2]}, [3]} used more commonly for studies of condensates and bound states. In models where a large \(N\)  expansion is available, one usually adds auxiliary fields which allow a bosonization of the fermionic models. Such auxiliary fields have terms quadratic and linear in the action, they do not have kinetic terms. The next step is a 1-loop computation of the diagrams involving the original fields coupled to an auxiliary field. This computation produces a kinetic term for an auxiliary field, as well as other terms in the effective action. See for example [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]} where the bosonic and fermionic bound states were investigated in the large \(N\)  approximation, which allowed to avoid significant problems with using the renormalization group approach in this context.
